Tisch
fill (up) a vacancy
1. Cut a straw with a length of 14 cm into three sections and string them into triangles. Can be cut into () cm, () cm, () cm; Can also be cut into () cm, () cm, () cm.
Can you make an equilateral triangle and two isosceles triangles with the following 9 sticks? Fill in the length of the selected stick in brackets.
Form an equilateral triangle: (), (), () and two isosceles triangles: (1), (), (2), ().
You can also surround it like this:
Form an equilateral triangle: (), (), () and two isosceles triangles: (1), (), (2), ().
3. An isosceles triangle, whose top angle is four times the bottom angle, and whose top angle is () degrees, is a () triangle.
4. Triangle has the property of (), and it is not easy to ().
5. In an isosceles triangle, two equal sides are called () and the other is called ().
6. In a triangle, three internal angles are not equal, and the smallest angle is 45 degrees, then this triangle is a () triangle.
7. The lengths of two sides of a triangle are 4cm and 7cm respectively, and the length of the third side must be greater than () cm and less than () cm.
8. Fill in brackets with "acute angle", "obtuse angle" or "right angle".
(1) If all three internal angles of a triangle are equal, then the triangle is a () triangle.
(2) If one internal angle of a triangle is equal to the sum of the other two internal angles, then this triangle is a () triangle.
9. In a triangle, one of the angles is 80 degrees, and this triangle must be a () triangle.
10. In a triangle, the sum of two acute angles is 80 degrees. This triangle must be () triangle.
1 1. In the triangle, one angle is 120 degrees, and this triangle must be a () triangle; A right triangle, if ∠A=∠B, then this triangle is also a () triangle, and ∠A= () degrees.
12. In a triangle, there are at most () obtuse angles, at most () right angles and at most () acute angles.
13. If a triangle is divided into several angles, it can be divided into ().
Please illustrate the relationship between them with a chart.
Second, the operation
1. Draw the height at the bottom of each triangle below.
2. Draw a line segment in the left parallelogram and divide it into two identical acute triangles;
Draw a line segment in the parallelogram on the right and divide it into two identical obtuse triangles;
Draw a line segment in the right triangle below and divide it into two triangles. And explain what triangles it is divided into. Can you think of different views? )
Divided into () triangle and () triangle is divided into () triangle and () triangle.
Can you spell acute triangle, right triangle and obtuse triangle with two identical triangular rulers? Draw a picture of your spelling below.
Acute triangle, right triangle, obtuse triangle
Third, solve practical problems.
1. Among the trunk highways from Beijing to all parts of the country, the longest is the Beijing-Tangshan line (from Beijing to Tanggu). The length of Jing-Tang line is 142km, and the length of Jing-Tang line is about 27 times that of Jing-Tang line. How many thousands and hundreds of kilometers of cables are there in Beijing?
2. Garden Primary School bought 45 sets of single desks and chairs, each desk 128 yuan, each chair 52 yuan. How much is a * * *? (Answer in two ways)
Zhuang Lin has a rectangular garden, which is120m long and 50m wide. There is also a square nursery with a side length of 80 meters. Compared with the nursery, which area is larger? How many square meters is it?
The vertex angle of isosceles triangle is 70 degrees. After folding in half along the height of the bottom, two right triangles are obtained. What are the two acute angles in each right triangle?
The school held a sports meeting. There are 54 participants in the third grade, 7 more in the fourth grade than in the third grade, and the number of participants in the fifth grade is twice the total number of participants in the third and fourth grades. How many people are there in the fifth grade?
6.3 The truck contains 480 boxes of apples. According to this calculation, how many boxes can one * * * truck hold?
7. Grade four students planted 32 trees, and grade six planted fewer trees than grade four 18. How many fewer trees were planted in grade four than in grade six?
8. A classroom is made of square bricks with a side length of 3 meters, and 480 pieces are just covered. How many bricks do you need if you replace it with a square brick with a side length of 4 mm?
9. The load capacity of a truck is 5 tons. This truck has been loaded with 40 bags of rice, each of which is 75 kilograms. How many bags can each bag of 25 kilograms of flour hold? (column synthesis formula solution)
10. Xiaojun walked from home to school at 8 o'clock. At the same speed, how long does it take him to walk from home to the Children's Palace? (Answer in two ways)
extreme
First, oral calculation.
660÷22 130×40 540÷60 550÷50
550÷5 340- 1 14 48÷6×0 750÷ 15
Fill in the blanks.
1, 450596 1 is (), the number of digits is (), the counting unit of digits is (), and the rounding to ten thousand digits is about ().
2. Let the quotient of () 58÷8 be two digits, and () can be filled in (). Let the quotient of 473÷4 () be two digits, and you can fill in ().
3. The angle less than 90 degrees is ().
4. Two adjacent sides of the table are mutually (), and the opposite sides are mutually ().
5. The angles of a pair of triangular rulers are (), (), () or (), (), etc.
6, 74 () 635 ≈ 740,000, () can be filled in, () can be filled in.
7,74 () 635 ≈ 750,000, () can be filled in, () is the smallest.
8. Cut a 20-meter-long ring rope into the same sections, and cut it into five sections, each of which is () meters long.
9. Cut a 20-meter-long rope into the same sections, * * * five times, and each section is () meters long.
10. Saw a 20-meter-long piece of wood into five identical sections, each section takes 8 minutes, and * * * takes () minutes.
1 1、32×25=(4× )×
12. From four o'clock to five o'clock, the minute hand turned () and the hour hand turned ().
13, () parallel to each other, () perpendicular to each other.
14, the minute hand and the hour hand form a right angle (), and the moment forming the right angle is ().
15,25× (4×12) = 25× 4×12 Use ().
16, one hundred thousand is less than one million ().
17, the length of the vertical line segment between parallel lines ().
Third, the judge.
1. On the same plane, two straight lines are either parallel or perpendicular.
2. If two straight lines are not perpendicular in the same plane, they must be parallel.
Two straight lines that never intersect are called parallel lines.
4. Two disjoint straight lines are not necessarily parallel to each other.
5. A right angle has no vertex.
6. If the rules of the game are fair, no matter how many times you operate it, you can't tell who is the winner and who is the loser.
7. The distance from the point to the straight line is the length of the line segment from the point to the straight line.
8. The obtuse angle is greater than 90 degrees.
9. An angle greater than 90 degrees is an obtuse angle.
Fourth, choose.
1, 279-( 179-43), and the simple calculation method is ().
a 279- 179-43 B 279- 179+43 C 279-43- 179
2.25×13× 4 =13× (25× 4) =1300, where () is used.
Multiplicative commutative law b multiplicative associative law
Multiplicative commutative law and multiplicative associative law
3. Write the six numbers 1-6 on the six faces of a cube, and Party A and Party B will throw them 30 times each. If the number of people is less than 3, Party A wins; Otherwise, Party B wins. In this game, ()
A is likely to win, B is likely to win, and C has an equal chance to win.
4, nine digits is ()
One billion, one million, one billion.
5. A rectangular piece of paper is folded in half twice and unfolded, with two creases ().
A is parallel to each other, B is perpendicular to each other, and C may be parallel to each other or perpendicular to each other.
Fifth, solve the problem.
1, red star supermarket shipped 1000 exercise books. Sold 15 days, with 40 left. How many copies are sold on average every day?
There are 680 seats under the courtyard, four times as many as those upstairs. How many seats are there in this yard?
There are 680 seats downstairs in the yard, and the seats upstairs are four times as many as downstairs. How many seats are there in this yard?
4. The school planted Chinese rose 13 rows in the field, each row 12 plants; Also planted 8 rows of chrysanthemums, 24 in each row. How much more chrysanthemums are there than Chinese rose flowers?
5. If 1000 sheets of paper are about 10 cm thick, how many meters thick is 1000000 sheets of paper?
Tisso
0 1 fill in the blanks. 1, and the two numbers adjacent to the smallest octet are () and ().
2. 10 eggs weigh 50g, and 1 10,000 eggs weigh about () tons.
3. Two equal-length iron wires are used to form a rectangle and a square respectively, and the area of () is larger. 4. 100 paper thickness 1 cm, 1 100 million paper thickness is about () km.
5. Write the approximate values of the following figures in "ten thousand":
945000 ≈ () 305100 ≈ () 996043 ≈ () ten thousand.
6. Write the approximate values of the following figures in "hundreds of millions".
42000000000 ≈ () 650000000 ≈ () 69900000000 ≈ () billion.
7. Write the number in □
□□□÷26=7……6298÷□□=9…… 1
□□□÷35=8……3 197÷□□=5……2
8. Combine each of the following formulas into a comprehensive formula.
73+27= 100 100÷25=4
________________________________________
52-36= 1645× 16=720
________________________________________
42× 13=546 102+546=646
________________________________________
9. Write the following numbers with 5 3s and 3 0s as needed.
(1) Don't read a "zero"; ________
(2) Read only a "zero"; ________
(3) Read two zeros; ________
(4) Read three zeros. ________
True or false.
1, the length of a straight line 1 0m, 100, the length of such a straight line1km. ()
2. An angle consisting of two acute angles must be obtuse. ()
3. Two disjoint lines are called parallel lines. ()
4. Two completely equal triangles can definitely form a triangle. ()
5. Two completely equal triangles can definitely form a parallelogram. ()
6. Of course, two trapezoid with equal height can form a parallelogram. ()
7. Lines and rays have no endpoints, so it is impossible to measure the length. ()
8. A quadrilateral whose four corners are right angles must be a rectangle. ()
9. Units, ten, hundred, thousand and ten thousand are all counting units. ()
10. Draw a perpendicular to the known straight line at a point outside the straight line, and only one can be drawn. ()
03 application questions.
1, a book *** 156 pages, read 25 pages every day, read for 3 days, which page should I read on the fourth day?
2. In the activities of donating money to help the disabled, three classes in senior three donated money to 75 yuan on average, and the total amount of donations in senior four was twice that of senior three, less than that of 48 yuan. How much is the donation for the fourth grade?
This classroom covers an area of 48 square meters. If it is paved with square bricks with a side length of 4 mm, how many pieces do you need?
4. Xiaohong 135 stick and Xiaofang 3 1 stick. Xiaohong hopes that Xiao Fang has as many sticks as herself. How many times does she need to take out 13 sticks from the school box and give them to Xiao Fang?
5. The toy cupboard in the shopping center bought 75 soccer balls, each 20 yuan. After all sold, earned 600 yuan. What is the purchase price of each football?
This leather shoes factory produced 420 pairs of leather shoes in April. How many pairs are produced on average every day?
7. The sales volume of color TV sets in Su Guo in the first quarter was: 1 month, 258 sets, 339 sets in February (29 days) and 222 sets in March. How many color TV sets were sold on average every day in the first quarter?
8. The construction team repaired 450 meters of road on the first day, 530 meters on the second day, leaving 98 meters unaddressed. What is the length after repair?
9. Uncle Wang's family is going to use floor tiles to lay a room 9 meters long and 5 meters wide. You need 16 tiles per square meter. How many floor tiles does Uncle Wang want to buy?
10, six identical trucks transport 864 tons of coal for the power plant, and each truck can transport 12 tons at a time. How long does it take to transport these coals? (Answer in more than two ways)
1 1. The length of the conference room is 12m and the width is 8m. Now we need to lay 8 cm high floor tiles. How many floor tiles should this conference room be paved? (Answer in two ways)
12, a rectangular green space with a width of 8m and an area of 560m2. If the width is increased to 24 meters, the length will remain the same. What is the expanded green area?
13, unit price of desk is 56 yuan, and unit price of chair is 14 yuan. Teacher Zhang brought 900 yuan to buy such a desk and chair. How many sets can he buy at most?
14, Uncle Wang set out from the county seat to deliver fertilizer to Wangzhuang Township. When he went, the speed was only 60 kilometers per hour. It took him four hours to reach Wangzhuang Township and three hours to return. How many kilometers per hour did you average when you came back?
15, a 288-page story book, which Ding Ding finished reading in 12 days. A science and technology book with 162 pages, read every day in winter and winter 18 pages. What is the difference between the average number of pages read by Ding Ding and Dong Dong every day?
16, there are 8040 fruit trees in the corner of Xinxing Orchard * * *, including apple trees 14, with 420 trees in each row, and the rest are peach trees, with known rows of peach trees 18, _ _ _ _ _ _ _ _ _? (Fill in the question first, then answer)
17. The toy factory plans to produce 3000 sets of electric intellectual toys with 12. How many days did it actually take _ _ _ _ _ _ _ _ _ _? (Please fill in the appropriate conditions before answering)